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Finding the Third Proportional to 7,401,933.75 and 16,505,823

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Solution

The third proportional to 7,401,933.75 and 16,505,823 is: 36,806,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401,933.75 : 16,505,823 = 16,505,823 : x
  2. Step 2: Convert to fraction form
    7,401,933.75/16,505,823 = 16,505,823/x
  3. Step 3: Cross multiply
    7,401,933.75x = 16,505,823 × 16,505,823
  4. Step 4: Simplify right side
    7,401,933.75x = 272,442,192,907,329
  5. Step 5: Solve for x
    x = 272,442,192,907,329/7,401,933.75
  6. Step 6: Final answer
    x = 36,806,894.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.